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20102024
most citedLocal polynomial convexity of the union of two totally real surfaces at their intersection

1 citations · 1 across the 6 of their papers we have counts for

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math.CV2023

Uniform algebras and distinguished varieties

Sushil Gorai, Golam Mostafa Mondal

In this article, we point out the connections between the distinguished varieties introduced by Agler and McCarthy with certain uniform algebras on bidisc studied by Samuelsson and…

math.CV2023

A study of spirallike domains: polynomial convexity, Loewner chains and dense holomorphic curves

Sanjoy Chatterjee, Sushil Gorai

In this paper, we prove that the closure of a bounded pseudoconvex domain, which is spirallike with respect to a globally asymptotic stable holomorphic vector field, is polynomiall…

math.CV2023

Polynomial convexity of compacts that lies in certain Levi-flat hypersurfaces in

Sushil Gorai, Golam Mostafa Mondal

In this paper, we first prove that the totally real discs lying in certain Levi flat hypersurfaces are polynomially convex. As applications we prove that the totally real discs lyi…

math.CV2010

Uniform algebras generated by holomorphic and close-to-harmonic functions

Gautam Bharali, Sushil Gorai

The initial motivation for this paper is to discuss a more concrete approach to an approximation theorem of Axler and Shields, which says that the uniform algebra on the closed uni…

math.CV20101 cited

Local polynomial convexity of the union of two totally real surfaces at their intersection

Sushil Gorai

We consider the following question: Let and be two smooth, totally-real surfaces in that contain the origin. If the union of their tangent planes is loca…